Atkin-Lehner |
2+ 3- 41- 73- |
Signs for the Atkin-Lehner involutions |
Class |
53874d |
Isogeny class |
Conductor |
53874 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
208973367072 = 25 · 36 · 412 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -4 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2097,-29187] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:92:1] [-17:45:1] |
Generators of the group modulo torsion |
j |
1399290756625/286657568 |
j-invariant |
L |
7.0973787009678 |
L(r)(E,1)/r! |
Ω |
0.71564506831138 |
Real period |
R |
4.9587281567627 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5986b2 |
Quadratic twists by: -3 |